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Practical Performance of Random Projections in Linear Programming

Authors Leo Liberti , Benedetto Manca , Pierre-Louis Poirion

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Author Details

Leo Liberti
  • LIX CNRS, Ecole Polytechnique, Institut Polytechnique de Paris, 91128 Palaiseau, France
  • www.lix.polytechnique.fr/ liberti
Benedetto Manca
  • Department of Mathematics and Informatics, University of Cagliari, Italy
Pierre-Louis Poirion
  • RIKEN Center for Advanced Intelligence Project, Tokyo, Japan

Funding

  • Manca, Benedetto: Partly supported by grant STAGE, Fondazione Sardegna 2018.

Cite AsGet BibTex

Leo Liberti, Benedetto Manca, and Pierre-Louis Poirion. Practical Performance of Random Projections in Linear Programming. In 20th International Symposium on Experimental Algorithms (SEA 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 233, pp. 21:1-21:15, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)
https://doi.org/10.4230/LIPIcs.SEA.2022.21

Abstract

The use of random projections in mathematical programming allows standard solution algorithms to solve instances of much larger sizes, at least approximately. Approximation results have been derived in the relevant literature for many specific problems, as well as for several mathematical programming subclasses. Despite the theoretical developments, it is not always clear that random projections are actually useful in solving mathematical programs in practice. In this paper we provide a computational assessment of the application of random projections to linear programming.

Subject Classification

ACM Subject Classification
  • Mathematics of computing → Mathematical optimization
  • Theory of computation → Random projections and metric embeddings
Keywords
  • Linear Programming
  • Johnson-Lindenstrauss Lemma
  • Computational testing

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Supplementary Materials

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